A trivial observation on time reversal in random matrix theory

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dc.creatorKaplan, L.
dc.creatorLeyvraz, F.
dc.creatorPineda, C.
dc.creatorSeligman, T. H.
dc.date2007-09-21
dc.date.accessioned2026-07-07T08:46:38Z
dc.date.available2026-07-07T08:46:38Z
dc.descriptionIt is commonly thought that a state-dependent quantity, after being averaged over a classical ensemble of random Hamiltonians, will always become independent of the state. We point out that this is in general incorrect: if the ensemble of Hamiltonians is time reversal invariant, and the quantity involves the state in higher than bilinear order, then we show that the quantity is only a constant over the orbits of the invariance group on the Hilbert space. Examples include fidelity and decoherence in appropriate models.
dc.description7 pages 3 figures
dc.identifierhttps://arxiv.org/abs/0709.3353
dc.identifierhttp://arxiv.org/abs/0709.3353
dc.identifierJ. Phys. A: Math. Theor. 40 F1063-F1068 (2007)
dc.identifierdoi:10.1088/1751-8113/40/49/F04
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143317
dc.subjectQuantum Physics
dc.titleA trivial observation on time reversal in random matrix theory
dc.typetext

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